Sobolev

常见例句

Existence and uniqueness are proved by Lax-Milgram theorem for a type of degenerate divergence elliptic equation in a type of Sobolev spaces with weight, and also the regularity will be studied.
先用Lax-Milgram定理証明一類退化散度型橢圓型方程在帶權Sobolev空間中弱解的存在唯一性,然後証明解的正則性。
In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent.
本文考慮具有凹凸非線性和臨界Sobolev指數的半線性橢圓方程的正解和多重解(可能非正)的存在性。
This method has more advantages than polynomial interpolation and spline interpolation.When a node is increased each time, the approximate error decreases monotonically in the meaning of Sobolev norm.
與多項式插值、樣條插值相比，每增加一個節點，逼近誤差在索伯列夫範數意義下單調下降；
Sobolev interpolation inequality
Sobolev插值不等式
Musielak - Orlicz - Sobolev spaces
Musielak-Orlicz-Sobolev空間
convection-dominated Sobolev equation
對流佔優Sobolev方程